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Finding the Fourth Proportional to 713,308.82, 1,070,103.08 and 264,033.47

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Solution

The fourth proportional to 713,308.82, 1,070,103.08 and 264,033.47 is: 396,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,308.82 : 1,070,103.08 = 264,033.47 : x
  2. Step 2: Convert to fraction form
    713,308.82/1,070,103.08 = 264,033.47/x
  3. Step 3: Cross multiply
    713,308.82x = 1,070,103.08 × 264,033.47
  4. Step 4: Simplify right side
    713,308.82x = 282,543,032,805.43
  5. Step 5: Solve for x
    x = 282,543,032,805.43/713,308.82
  6. Step 6: Final answer
    x = 396,101.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.